Finite Group Databasebeta

← Group #260126

Character table — Group #260126

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444444444444448888888822444444444444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1111-1-11111111111-11-1-1-1111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11-1-111111111
χ51111111111111111111111-1-1111-1-11111111111-1-11-11-1-1-1-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1111-11-1-111-1-1-11111-1-1-1-1
χ71111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-111-1-1-1111111-1-1-1-1
χ81111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-111-1-1-1-11111
χ9111111111111-1-1-1-1-1-111111111-111-1-11111-1-1-1-1111-1-11-1-1-1-11-111-1-111-1-1
χ10111111111111-1-1-1-1-1-111111111-111-1-1-1-1-1-11111-1-11-1-11-111-11-1-1-111-1-111
χ11111111111111-1-1-1-1-1-1111111-1-1-111111111-1-1-1-111-1-11-11-1-1-1-11-1-111-1-111
χ12111111111111-1-1-1-1-1-1111111-1-1-11111-1-1-1-11111-1-1-1-11-1111-1-1111-1-111-1-1
χ13111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-11111-1-1-1-1-1-111-1-11111-11-1-11111-1-1
χ14111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-111111111-1-11-1-11-1111-1-1-1-111
χ15111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111-11111-111-1-1-1-111
χ16111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1111111-1111-1-1-111-1-1-11111-1-1
χ172222222222222222-2-2-2-2-2-20022-200220000000000-20-2000000000000000
χ182222222222222222-2-2-2-2-2-200-2-2-200-2-20000000000202000000000000000
χ19222222222222-2-2-2-222-2-2-2-20022200-2-20000000000-202000000000000000
χ20222222222222-2-2-2-222-2-2-2-200-2-220022000000000020-2000000000000000
χ2122222222-2-2-2-222-2-2222-2-220000-2000000000000000002-2000-2200000000
χ2222222222-2-2-2-222-2-2222-2-220000-200000000000000000-220002-200000000
χ2322222222-2-2-2-222-2-2-2-2-222-222002-2-20000000000000200000-20000000000
χ2422222222-2-2-2-222-2-2-2-2-222-2-2-2002220000000000000-20000020000000000
χ2522222222-2-2-2-2-2-22222-222-22200-2-2-20000000000000-20000020000000000
χ2622222222-2-2-2-2-2-22222-222-2-2-200-2220000000000000200000-20000000000
χ2722222222-2-2-2-2-2-222-2-22-2-22000020000000000000000022000-2-200000000
χ2822222222-2-2-2-2-2-222-2-22-2-220000200000000000000000-2-20002200000000
χ29222-22-2-2-22-2-222-22-2000000002-20002-2i2i2−i2−i2i2i2−i2−i20000000000000000i2−i2i2−i2
χ30222-22-2-2-22-2-222-22-2000000002-20002-2−i2−i2i2i2−i2−i2i2i20000000000000000−i2i2−i2i2
χ31222-22-2-2-22-2-222-22-200000000-22000-22i2i2−i2−i2i2i2−i2−i20000000000000000−i2i2−i2i2
χ32222-22-2-2-22-2-222-22-200000000-22000-22−i2−i2i2i2−i2−i2i2i20000000000000000i2−i2i2−i2
χ33222-22-2-2-22-2-22-22-22000000002-2000-22i2i2−i2−i2−i2−i2i2i20000000000000000i2−i2−i2i2
χ34222-22-2-2-22-2-22-22-22000000002-2000-22−i2−i2i2i2i2i2−i2−i20000000000000000−i2i2i2−i2
χ35222-22-2-2-22-2-22-22-2200000000-220002-2i2i2−i2−i2−i2−i2i2i20000000000000000−i2i2i2−i2
χ36222-22-2-2-22-2-22-22-2200000000-220002-2−i2−i2i2i2i2i2−i2−i20000000000000000i2−i2−i2i2
χ3722-2-2-22-2222-2-2000000-22-222i−2i0002i−2i002i−2i2i−2i00002-2000000000000000000
χ3822-2-2-22-2222-2-2000000-22-222i−2i0002i−2i00−2i2i−2i2i0000-22000000000000000000
χ3922-2-2-22-2222-2-2000000-22-22−2i2i000−2i2i002i−2i2i−2i0000-22000000000000000000
χ4022-2-2-22-2222-2-2000000-22-22−2i2i000−2i2i00−2i2i−2i2i00002-2000000000000000000
χ4122-2-2-22-22-2-22200000022-2-22i−2i000−2i2i0000002-22-200000002i−2i00000000000
χ4222-2-2-22-22-2-22200000022-2-22i−2i000−2i2i000000-22-220000000−2i2i00000000000
χ4322-2-2-22-22-2-22200000022-2-2−2i2i0002i−2i0000002-22-20000000−2i2i00000000000
χ4422-2-2-22-22-2-22200000022-2-2−2i2i0002i−2i000000-22-2200000002i−2i00000000000
χ45444-44-4-4-4-444-44-4-440000000000000000000000000000000000000000000
χ46444-44-4-4-4-444-4-444-40000000000000000000000000000000000000000000
χ4744-44-4-44-44-44-4000000000000000000022−22−2222000000000000000000000000
χ4844-44-4-44-44-44-40000000000000000000−222222−22000000000000000000000000
χ4944-44-4-44-4-44-44000000000000000000000002i2−2i2−2i22i200000000000000000000
χ5044-44-4-44-4-44-4400000000000000000000000−2i22i22i2−2i200000000000000000000
χ5144-4-4-44-4444-4-40000004-44-40000000000000000000000000000000000000
χ5244-4-4-44-44-4-444000000-4-4440000000000000000000000000000000000000
χ534-444-44-4-4000000004i−4i0000000000000000000000000000000002-22i−2i0000
χ544-444-44-4-4000000004i−4i000000000000000000000000000000000-22−2i2i0000
χ554-444-44-4-400000000−4i4i0000000000000000000000000000000002-2−2i2i0000
χ564-444-44-4-400000000−4i4i000000000000000000000000000000000-222i−2i0000
χ578-88-8-8-888000000000000000000000000000000000000000000000000000
χ588-8-888-8-88000000000000000000000000000000000000000000000000000
χ598-8-8-8888-8000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).